course number 203-1-2161

- Main concepts of Statistical Physics: separation of microscopic and macroscopic description of a system; microstates vs. configurations; sharpness of the distribution of microstates over configuration space; basic idea of statistical ensembles and of probabilities.
- Main concepts of Statistical Physics as applied to a simple modelsystem of two-state spins: numbering of microscopic states; multiplicity function; continuous approximation of the multiplicity function; probabilities of micro- and macro- states; characteristics of probability function, mean, variance and standard deviation; sharpness of the probability distribution of a macroscopic variable; correlation of two random variables.
- Microcanonical ensemble: probabilities of microscopic states in an isolated system at equilibrium; example of equilibration in the system of spins; thermal equilibrium of two arbitrary systems; definition of temperature; entropy in microcanonical ensemble; additivity of entropy; the postulate of entropy increase in an isolated system (second Law of Thermodynamics); the direction of heat flow.
- Canonical ensemble: Boltzmann Distribution; partition function; microscopic state probabilities; average energy of a system in thermal equilibrium; fluctuations in energy and their relation to heat capacity; Helmoholtz Free energy and its relation to the partition function.
- Applications of the canonical ensemble: the system of spins;
Schottky anomaly; partition function, energy and free energy of a
classical

ideal monoatomic gas. - Thermodynamic equilibrium and thermodynamic processes;
characteristic time scales; reversible and irreversible processes;
quasi-stationary process; examples of quasi-stationary heat transfer
and of work.

- Heat and Work in thermodynamics; First Law of Thermodynamics; differential relations between thermodynamic quantities; Maxwell relations; enthalpy; heat capacity; intensive and extensive quantities; entropy, pressure and heat capacity of a classical ideal monoatomic gas.
- More applications of Canonical ensemble: classical oscillators, single and coupled; normal modes in the linear beads-springs system; Equipartition Theorem.
- Thermal Radiation: experimental facts about thermal radiation; Wien's law; Stephan-Boltzmann law; classical description of electromagnetic field; Ultraviolet Catastrophe; quantum oscillator; Plank thermal radiation law; photons.
- Heat capacity of solids: Dulong-Petit law; classical treatment of the problem; deviations from Dulong-Petit law; Einstein theory of heat capacity; Einstein temperature; Debye theory; Debye temperature; phonons; heat capacity of diatomic gas.
- Grand Canonical ensemble: chemical potential; Gibbs Distribution; grand partition function; grand thermodynamic potential and its relation to grand partition function; average number of molecules and fluctuations in the number of molecules in the system at thermal and diffusive equilibrium; Maxwell relations for chemical potential.
- Applications of Grand Canonical ensemble: external chemical potential; distribution of molecules in atmosphere; equilibrium between adsorbed molecules and gas.
- Heat
Engines: perpetuum mobile of first and second type; Kelvin-Planck and
Clausius formulations of second law of Termodynamics; PV-diagram of
processes in a heat engine; efficiency of a heat engine; isothermal,
isobaric, isochoric and adiabatic processes; Carnot
cycle;refrigerators.

- Summary of Statistical Mechanics and Thermodynamics I; centrality of the Second Law of Thermodynamics in physics and other disciplines; Maxwell demon.

- C. Kittel and H. Kroemer, Thermal Physics
- F. Reif F, Fundamentals of Statistical and Thermal Physics, McGraw-Hill, NY 1965, QC 175.R43

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